4 men or 12 boys can do a certain work in 36 days. How long will 6 men and 10 boys take to do it?
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Answer:
see attached
Step-by-step explanation:
A spreadsheet is a useful tool for keeping track of the numbers. A picture of one is attached.
We have assumed that the dollar amount for housing computed in the first part remains the same (though the percentage changes). If that is not the case, you'll have to recompute.
Likewise, we assume that the "5%" retirement amount remains 5% of the nominal salary, rather than 5% of the salary after the mandatory retirement deduction. Similarly, we assume dance lessons remain at their original amount, and were not reduced when the company began taking mandatory retirement.
Feel free to build your own spreadsheet and recompute as needed for any assumptions I got wrong, or for any additional scenarios.
Since the cotangent function is defined as
we have that the cotangent equals zero at , because we have
So, the limit simply becomes